| Title:
|
Criterion of $p$-criticality for one term $2n$-order difference operators (English) |
| Author:
|
Hasil, Petr |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
99-109 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the criticality of the one term $2n$-order difference operators $l(y)_k = \Delta ^n (r_k \Delta ^n y_k)$. We explicitly determine the recessive and the dominant system of solutions of the equation $l(y)_k = 0$. Using their structure we prove a criticality criterion. (English) |
| Keyword:
|
one term difference operator |
| Keyword:
|
recessive system of solutions |
| Keyword:
|
$p$-critical operator |
| Keyword:
|
sub/supercritical operator |
| MSC:
|
39A10 |
| MSC:
|
39A21 |
| MSC:
|
39A70 |
| MSC:
|
47B25 |
| idZBL:
|
Zbl 1249.39001 |
| idMR:
|
MR2813536 |
| . |
| Date available:
|
2011-06-06T14:39:55Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141559 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
